107666190517824 has 63 divisors (see below), whose sum is σ = 308606409190443. Its totient is φ = 35888647162752.

The previous prime is 107666190517817. The next prime is 107666190517859. The reversal of 107666190517824 is 428715091666701.

The square root of 107666190517824 is 10376232.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 248813397 + ... + 249245739.

Almost surely, 2^{107666190517824} is an apocalyptic number.

107666190517824 is the 10376232-nd square number.

It is an amenable number.

107666190517824 is an abundant number, since it is smaller than the sum of its proper divisors (200940218672619).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107666190517824 is an frugal number, since it uses more digits than its factorization.

107666190517824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864704 (or 432348 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 107666190517824 in words is "one hundred seven trillion, six hundred sixty-six billion, one hundred ninety million, five hundred seventeen thousand, eight hundred twenty-four".